In a factory, Machine A was turned on first and it produced 123 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 70 less than
34 of the total number of wontons produced. How many wontons were produced altogether?
| |
Make u the same
(1) x 3 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 2 = (4) |
Total |
| Before |
369 |
123 |
0 |
0 |
|
| Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
| After |
9 p + 210 |
3 p + 70 |
3 p - 70 |
6 p - 140 |
4 p |
From (3)
369 + 12 u = 9 p + 210
12 u = 9 p + 210 - 369
12 u = 9 p - 159
From (4)
0 + 12 u = 6 p - 140
12 u = 6 p - 140
(3) = (4)
9 p - 159 = 6 p - 140
9 p - 6 p = 159 - 140
3 p = 19
Number of wontons that were produced altogether
= 4 p
= 4 x 19
= 76
Answer(s): 76
